An ac ammeter is used to measure current in a circuit. When a given direct current passes through the circuit, the ac ammeter reads $$3$$ A. When another alternating current passes through the circuit, the ac ammeter reads $$4$$ A. Then find the reading of this ammeter (in$$ $$A), if dc and ac flow through the circuit simultaneously.

Question

Infinity Learn · Accepted Answer

Net current: I $$=$$ $$3+42$$ $$sin$$ ωtNow find $$Iv=$$∫$$0T(3+42sin$$ω$$t)2dtT=5A$$

Alternating Current and voltage

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$N e t c u r r e n t : I = 3 + 4 \sqrt{2} \sin ω t$
$N o w f i n d I_{v} = \sqrt{\frac{\int_{0}^{T} {(3 + 4 \sqrt{2} sin ω t)}^{2} d t}{T} = 5 A}$

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Alternating Current and voltage

Unlock the full solution & master the concept.

Net current: I = 3+42 sin ωtNow find Iv=∫0T(3+42sinωt)2dtT=5A

Ready to Test Your Skills?

free study material

$N e t c u r r e n t : I = 3 + 4 \sqrt{2} \sin ω t$
$N o w f i n d I_{v} = \sqrt{\frac{\int_{0}^{T} {(3 + 4 \sqrt{2} sin ω t)}^{2} d t}{T} = 5 A}$